Given that $p=T\sqrt{\frac{p+1}{x}}$, express $x$ in terms of $p$ and $T$. Hence, find

Question

Given that $p=T\sqrt{\frac{p+1}{x}}$, express $x$ in terms of $p$ and $T$. Hence, find the value of $x$ when $p=-5$, $T=2$. Correction to part (b): determine whether a real value of $x$ exists for the stated values, and check any candidate in the original formula. The square root denotes its principal, non-negative value.

Accepted Answer

(a) $x=\frac{T^2(p+1)}{p^2}$, $p\ne0$ (b) No real solution for the stated values.

IP1U5 5.4 Exercise Q6

IP1U5 5.4 Exercise Q6

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